484471008 has 144 divisors (see below), whose sum is σ = 1585059840. Its totient is φ = 137495808.

The previous prime is 484471003. The next prime is 484471019. The reversal of 484471008 is 800174484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484471003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335953 + ... + 337391.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2^484471008 is an apocalyptic number.

484471008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484471008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

484471008 is an abundant number, since it is smaller than the sum of its proper divisors (1100588832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

484471008 is a wasteful number, since it uses less digits than its factorization.

484471008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 484471008 is about 22010.7021241940. The cubic root of 484471008 is about 785.3970474418.

It can be divided in two parts, 48447 and 1008, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 484471008 in words is "four hundred eighty-four million, four hundred seventy-one thousand, eight".